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Developing an earlier proposal (Ne'eman, Damnjanovic, etc), we show herein that there is a Landau continuous phase transition from the exact quantum dynamics to the effectively classical one, occurring via spontaneous superposition breaking…

Quantum Physics · Physics 2007-05-23 Vladan Pankovic , Tristan Hubsch , Milan Predojevic , Miodrag Krmar

Classifying phase transitions is a fundamental and complex challenge in condensed matter physics. This work proposes a framework for identifying quantum phase transitions by combining classical shadows with unsupervised machine learning. We…

This review is focused on various properties of quantum phase transitions (QPTs) in the Interacting Boson Model (IBM) of nuclear structure. The model in its infinite-size limit exhibits shape-phase transitions between spherical, deformed…

Nuclear Theory · Physics 2008-12-18 Pavel Cejnar , Jan Jolie

We contrast two sets of conditions that govern the transition in which classical dynamics emerges from the evolution of a quantum system. The first was derived by considering the trajectories seen by an observer (dubbed the ``strong''…

Quantum Physics · Physics 2009-11-13 Benjamin D. Greenbaum , Kurt Jacobs , Bala Sundaram

The quantum phase transitions in the one-dimensional asymmetric Hubbard model are investigated with the bosonization approach. The conditions for the phase transition from density wave to phase separation, the correlation functions and…

Strongly Correlated Electrons · Physics 2009-11-13 Z. G. Wang , Y. G. Chen , S. J. Gu

We propose a new theoretical method to describe the monitored dynamics of bosonic many-body systems based on the concept of the most likely trajectory. We show how such trajectory can be identified from the probability distribution of…

Quantum Physics · Physics 2026-04-13 Anna Delmonte , Zejian Li , Rosario Fazio , Alessandro Romito

Recent theoretical and numerical evidence suggests that localization can survive in disordered many-body systems with very high energy density, provided that interactions are sufficiently weak. Stronger interactions can destroy…

Disordered Systems and Neural Networks · Physics 2013-04-17 Shankar Iyer , Vadim Oganesyan , Gil Refael , David A. Huse

We study quantum phase transitions between competing orders in one-dimensional spin systems. We focus on systems that can be mapped to a dual-field double sine-Gordon model as a bosonized effective field theory. This model contains two…

Strongly Correlated Electrons · Physics 2018-11-29 Shintaro Takayoshi , Shunsuke C. Furuya , Thierry Giamarchi

The notion of geometric phase has been recently introduced to analyze the quantum phase transitions of many-body systems from the geometrical perspective. In this work, we study the geometric phase of the ground state for an inhomogeneous…

Strongly Correlated Electrons · Physics 2012-09-04 Yu-Quan Ma , Shu Chen

This is a chapter for a book. The first paragraph of this chapter is as follows: "Ultracold quantum gases offer a wonderful playground for quantum many body physics, as experimental systems are widely controllable, both statically and…

Quantum Gases · Physics 2015-05-18 Lincoln D. Carr , Rina Kanamoto , Masahito Ueda

We study how the information flows in many-body dynamics governed by random quantum circuits and discover a rich set of dynamical phase transitions in this information flow. The phase transition points and their critical exponents are…

Quantum Physics · Physics 2024-02-14 J. -Z. Zhuang , Y. -K. Wu , L. -M. Duan

Many-body physics describes phenomena which cannot be understood looking at a systems' constituents alone. Striking manifestations are broken symmetry, phase transitions, and collective excitations. Understanding how such collective…

We propose an experimental scheme to simulate the many-body dynamical quantum Hall effect with ultra-cold bosonic atoms in a one-dimensional optical lattice. We first show that the required model Hamiltonian of a spin-1/2 Heisenberg chain…

Quantum Gases · Physics 2016-04-19 Dan-Wei Zhang , Xu-Chen Yang

We propose a type of phase transition in quantum many-body systems, which occurs in highly excited quantum many-body scar states, while most of the spectrum is largely unaffected. Such scar state phase transitions can be realized by…

Quantum Physics · Physics 2024-10-10 Peter Græns Larsen , Anne E. B. Nielsen

In this work we define a formal notion of a quantum phase crossover for certain Bethe ansatz solvable models. The approach we adopt exploits an exact mapping of the spectrum of a many-body integrable system, which admits an exact Bethe…

Quantum Physics · Physics 2007-05-23 Clare Dunning , Katrina E. Hibberd , Jon Links

In this chapter we will present the one-dimensional (1d) quantum degenerate Bose gas (1d superfluid) as a testbed to experimentally illustrate some of the key aspects of quantum thermodynamics. Hard-core bosons in one-dimension are…

Quantum Physics · Physics 2019-05-01 Joerg Schmiedmayer

The principle of energy conservation leads to a generalized choice of transition probability in a piecewise adiabatic representation of quantum(-classical) dynamics. Significant improvement (almost an order of magnitude, depending on the…

Quantum Physics · Physics 2010-03-03 Alessandro Sergi , Francesco Petruccione

We study the transition between a Coulomb phase and a dimer crystal observed in numerical simulations of the three-dimensional classical dimer model, by mapping it to a quantum model of bosons in two dimensions. The quantum phase transition…

Statistical Mechanics · Physics 2009-10-16 Stephen Powell , J. T. Chalker

We study a relativistic spin-1/2 fermion subjected to a Dirac oscillator coupling and a constant magnetic field. An interplay between opposed chirality interactions culminates in the appearance of a relativistic quantum phase transition,…

Quantum Physics · Physics 2009-11-13 A. Bermudez , M. A. Martin-Delgado , A. Luis

In the presence of sufficiently strong disorder or quasiperiodic fields, an interacting many-body system can fail to thermalize and become many-body localized. The associated transition is of particular interest, since it occurs not only in…